Question: for any r, R > 0, let C = , = {z C : | Re z| r and 0 Im z R, R >

for any r, R > 0, let C = , = {z C : | Re z| r and 0 Im z R, R > 0}. In this problem z denotes the principal branch with arg z [, ). Show that if f (z) is analytic in a region that contains , I C f (z)z 1z + 1dz = 0. 1

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